What is the Greatest Common Factor of 79792 and 79808?

Greatest common factor (GCF) of 79792 and 79808 is 16.

GCF(79792,79808) = 16

We will now calculate the prime factors of 79792 and 79808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79792 and 79808.

How to find the GCF of 79792 and 79808?

We will first find the prime factorization of 79792 and 79808. After we will calculate the factors of 79792 and 79808 and find the biggest common factor number .

Step-1: Prime Factorization of 79792

Prime factors of 79792 are 2, 4987. Prime factorization of 79792 in exponential form is:

79792 = 2⁴ × 4987¹

Step-2: Prime Factorization of 79808

Prime factors of 79808 are 2, 29, 43. Prime factorization of 79808 in exponential form is:

79808 = 2⁶ × 29¹ × 43¹

Step-3: Factors of 79792

List of positive integer factors of 79792 that divides 79792 without a remainder.

1, 2, 4, 8, 16, 4987, 9974, 19948, 39896

Step-4: Factors of 79808

List of positive integer factors of 79808 that divides 79792 without a remainder.

1, 2, 4, 8, 16, 29, 32, 43, 58, 64, 86, 116, 172, 232, 344, 464, 688, 928, 1247, 1376, 1856, 2494, 2752, 4988, 9976, 19952, 39904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79792 and 79808. The biggest common factor number is the GCF number.
So the greatest common factor 79792 and 79808 is 16.

Also check out the Least Common Multiple of 79792 and 79808